I haven't driven a Charger SRT but here is some comments about its handling from About.com, automobilemag.com, and the carconnection.com

"The Charger comes with electronic stability and traction control, but it's tuned to allow a bit of show-off wheelspin. That can be a problem in the curves, especially if you're using the manual-shift feature to keep the revs up- a stab of throttle coming out of a turn is enough to kick the rear end out, and it takes skill (and room) to recover. Luckily, those big Brembo brakes do a great job of scrubbing off speed before heading into a turn. Also in the Charger's favor: Responsive steering and an independent rear suspension that stays well planted on the bumps."

"Acceleration and braking may be impressive, especially for such a big car, but there's no hiding the Charger's 4160-pound curb weight, whether you're power-oversteering at the track or just bombing down the road. The Dodge stays relatively flat through corners, yet you can't help wishing for more body control. The steering is quick enough, but its messages are muffled by vibrations from the steering column. And as for the cool-looking, stitched-leather seats? The seat bottoms are too short, and the seatbacks cut into your shoulder blades."

"With a suspension lowered a half-inch from other Chargers, and special spring rates and anti-sway bars and an electronic stability program geared to allow more thrilling antics before halting the fun, the SRT8 makes good use of those oversize tires. This isn't a car that handles flat like a MINI or squirts between corners like a Miata, but a bruiserweight pounder that growls along consuming road. The steering is actually quite good with very quick reflexes and the turn in is rapid thanks to the relatively sticky Goodyears. The driver never will never forget he's piloting more than two tons of car stretching out nearly 17 feet long, but this is one sharp-handling sedan. And whenever it starts to understeer, adding some throttle will balance the car back to neutral. This car is fun to toss around. It just needs room to maneuver."

I am confident that the SRT boys will give the Challenger as good or better handling than the Charger!